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On Laplace-Carleson embedding theorems

Jacob, Birgit ; Partington, Jonathan R. and Pott, Sandra LU (2013) In Journal of Functional Analysis 264(3). p.783-814
Abstract
This paper gives embedding theorems for a very general class of weighted Bergman spaces: the results include a number of classical Carleson embedding theorems as special cases. The little Hankel operators on these Bergman spaces are also considered. Next, a study is made of Carleson embeddings in the right half-plane induced by taking the Laplace transform of functions defined on the positive half-line (these embeddings have applications in control theory): particular attention is given to the case of a sectorial measure or a measure supported on a strip, and complete necessary and sufficient conditions for a bounded embedding are given in many cases. (C) 2012 Elsevier Inc. All rights reserved.
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Hardy space, Weighted Bergman space, Laplace transform, Carleson measure
in
Journal of Functional Analysis
volume
264
issue
3
pages
783 - 814
publisher
Elsevier
external identifiers
  • wos:000313760700007
  • scopus:84871484920
ISSN
0022-1236
DOI
10.1016/j.jfa.2012.11.016
language
English
LU publication?
yes
id
d4162ac8-6349-4067-b297-6b64652f7a24 (old id 3591125)
date added to LUP
2016-04-01 13:59:11
date last changed
2022-03-29 18:28:34
@article{d4162ac8-6349-4067-b297-6b64652f7a24,
  abstract     = {{This paper gives embedding theorems for a very general class of weighted Bergman spaces: the results include a number of classical Carleson embedding theorems as special cases. The little Hankel operators on these Bergman spaces are also considered. Next, a study is made of Carleson embeddings in the right half-plane induced by taking the Laplace transform of functions defined on the positive half-line (these embeddings have applications in control theory): particular attention is given to the case of a sectorial measure or a measure supported on a strip, and complete necessary and sufficient conditions for a bounded embedding are given in many cases. (C) 2012 Elsevier Inc. All rights reserved.}},
  author       = {{Jacob, Birgit and Partington, Jonathan R. and Pott, Sandra}},
  issn         = {{0022-1236}},
  keywords     = {{Hardy space; Weighted Bergman space; Laplace transform; Carleson measure}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{783--814}},
  publisher    = {{Elsevier}},
  series       = {{Journal of Functional Analysis}},
  title        = {{On Laplace-Carleson embedding theorems}},
  url          = {{http://dx.doi.org/10.1016/j.jfa.2012.11.016}},
  doi          = {{10.1016/j.jfa.2012.11.016}},
  volume       = {{264}},
  year         = {{2013}},
}